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Задача Задача №2662353
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Аноним
22 января 2025 10:07 · публичный вопрос
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Аноним

9,2 * 6,4 * 0,15 ———————— 1,6 * 4,6 * 0,03 4 3 4 3 7 — * — + 2 — : 8 — 5 5 5 4 ————————————— 0,18 : 1,5 + 2,88

Ответ нейросети
22 января 2025 10:07

Let's break this problem down into parts step by step.

Part 1: Evaluate the first expression

\[ \frac{9.2 \times 6.4 \times 0.15}{1.6 \times 4.6 \times 0.03} \]

Calculate the numerator:

  1. \( 9.2 \times 6.4 = 58.88 \)
  2. \( 58.88 \times 0.15 = 8.832 \)

Calculate the denominator:

  1. \( 1.6 \times 4.6 = 7.36 \)
  2. \( 7.36 \times 0.03 = 0.2208 \)

Now, substitute these values into the expression: \[ \frac{8.832}{0.2208} \approx 40 \]

Part 2: Evaluate the second expression

This expression is: \[ \frac{4}{5} \times \frac{3}{5} + 2 \div \frac{8}{5} \]

Calculate \(\frac{4}{5} \times \frac{3}{5}\):

\[ \frac{4 \times 3}{5 \times 5} = \frac{12}{25} \]

Calculate \(2 \div \frac{8}{5}\):

\[ 2 \times \frac{5}{8} = \frac{10}{8} = \frac{5}{4} \]

Now add them up:

To add \(\frac{12}{25}\) and \(\frac{5}{4}\), convert \(\frac{5}{4}\) to have a common denominator with \(\frac{12}{25}\).

The least common multiple of 25 and 4 is 100.

  • \(\frac{12}{25} = \frac{12 \times 4}{25 \times 4} = \frac{48}{100}\)
  • \(\frac{5}{4} = \frac{5 \times 25}{4 \times 25} = \frac{125}{100}\)

Now, adding them: \[ \frac{48}{100} + \frac{125}{100} = \frac{173}{100} = 1.73 \]

Part 3: Evaluate the final expression

The final expression is: \[ 0.18 \div 1.5 + 2.88 \]

Calculate \(0.18 \div 1.5\):

\[ 0.18 \div 1.5 = \frac{0.18}{1.5} = \frac{18}{150} = \frac{3}{25} = 0.12 \]

Now add \(0.12\) to \(2.88\):

\[ 0.12 + 2.88 = 3.00 \]

Final Answers:

  1. The first expression evaluates to approximately \(40\).
  2. The second expression evaluates to \(1.73\).
  3. The final expression evaluates to \(3.00\).